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Finding the Fourth Proportional to 313,558.96, 432,714.56 and 170,321.80

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Solution

The fourth proportional to 313,558.96, 432,714.56 and 170,321.80 is: 235,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,558.96 : 432,714.56 = 170,321.80 : x
  2. Step 2: Convert to fraction form
    313,558.96/432,714.56 = 170,321.80/x
  3. Step 3: Cross multiply
    313,558.96x = 432,714.56 × 170,321.80
  4. Step 4: Simplify right side
    313,558.96x = 73,700,722,745.41
  5. Step 5: Solve for x
    x = 73,700,722,745.41/313,558.96
  6. Step 6: Final answer
    x = 235,045.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.